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dc.contributor.author
Sasyk, Roman  
dc.date.available
2020-08-20T18:32:06Z  
dc.date.issued
2019-07  
dc.identifier.citation
Sasyk, Roman; Permanence properties of the second nilpotent product of groups; Belgian Mathematical Soc Triomphe; Bulletin Of The Belgian Mathematical Society-simon Stevin; 26; 7-2019; 725-742  
dc.identifier.issn
1370-1444  
dc.identifier.uri
http://hdl.handle.net/11336/112043  
dc.description.abstract
We show that amenability, the Haagerup property, the Kazhdan´s property (T) and exactness are preserved under taking second nilpotent product of groups. We also define the restricted second nilpotent wreath product of groups, this is a semi-direct product akin to the restricted wreath product but constructed from the second nilpotent product. We then show that if two discrete groups have the Haagerup property, the restricted second nilpotent wreath product of them also has the Haagerup property. We finally show that if a discrete group is abelian, then the restricted second nilpotent wreath product constructed from it is unitarizable if and only if the acting group is amenable.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Belgian Mathematical Soc Triomphe  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
SECOND NILPOTENT PRODUCT OF GROUPS  
dc.subject
WREATH PRODUCT OF GROUPS  
dc.subject
GROUPS WITH THE HAAGERUP PROPERTY  
dc.subject
GROUPS WITH THE KAZDHAN'S PROPERTY (T)  
dc.subject
EXACT GROUPS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Permanence properties of the second nilpotent product of groups  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-08-19T18:45:40Z  
dc.journal.volume
26  
dc.journal.pagination
725-742  
dc.journal.pais
Bélgica  
dc.description.fil
Fil: Sasyk, Roman. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.journal.title
Bulletin Of The Belgian Mathematical Society-simon Stevin  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.bbms/1579402819  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.36045/bbms/1579402819